Earth Moon Weak Stability Boundaries in the restricted three and four body problem

Details Earth Moon Weak Stability Boundaries in the restricted three and four body problem Earth Moon Weak Stability Boundaries in the restricted three and four body problem

Jan 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cemda.103...79r&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 103, Issue 1, pp.79-103

Astronomy and Astrophysics

Astronomy

4

Weak Stability Boundaries, Four Body Problem, Low-Energy Transfer

Scientific paper

This work deals with the structure of the lunar Weak Stability Boundaries (WSB) in the framework of the restricted three and four body problem. Geometry and properties of the escape trajectories have been studied by changing the spacecraft orbital parameters around the Moon. Results obtained using the algorithm definition of the WSB have been compared with an analytical approximation based on the value of the Jacobi constant. Planar and three-dimensional cases have been studied in both three and four body models and the effects on the WSB structure, due to the presence of the gravitational force of the Sun and the Moon orbital eccentricity, have been investigated. The study of the dynamical evolution of the spacecraft after lunar capture allowed us to find regions of the WSB corresponding to stable and safe orbits, that is orbits that will not impact onto lunar surface after capture. By using a bicircular four body model, then, it has been possible to study low-energy transfer trajectories and results are given in terms of eccentricity, pericenter altitude and inclination of the capture orbit. Equatorial and polar capture orbits have been compared and differences in terms of energy between these two kinds of orbits are shown. Finally, the knowledge of the WSB geometry permitted us to modify the design of the low-energy capture trajectories in order to reach stable capture, which allows orbit circularization using low-thrust propulsion systems.

Affiliated with

Also associated with

No associations

Rating

Earth Moon Weak Stability Boundaries in the restricted three and four body problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Earth Moon Weak Stability Boundaries in the restricted three and four body problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Earth Moon Weak Stability Boundaries in the restricted three and four body problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1560707